Search a number
-
+
2163347920 = 245176189293
BaseRepresentation
bin1000000011110010…
…0001000111010000
312120202201110110001
42000330201013100
513412304113140
6554400015344
7104416103536
oct20074410720
95522643401
102163347920
11a10176348
12504601554
1328626a936
1416745a156
15c9dcbe9a
hex80f211d0

2163347920 has 160 divisors (see below), whose sum is σ = 5492460960. Its totient is φ = 789381120.

The previous prime is 2163347917. The next prime is 2163347933. The reversal of 2163347920 is 297433612.

It can be written as a sum of positive squares in 16 ways, for example, as 512388496 + 1650959424 = 22636^2 + 40632^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2163347920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7383294 + ... + 7383586.

It is an arithmetic number, because the mean of its divisors is an integer number (34327881).

Almost surely, 22163347920 is an apocalyptic number.

2163347920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2163347920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746230480).

2163347920 is an abundant number, since it is smaller than the sum of its proper divisors (3329113040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2163347920 is a wasteful number, since it uses less digits than its factorization.

2163347920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 2163347920 is about 46511.8040931547. The cubic root of 2163347920 is about 1293.3283280589.

The spelling of 2163347920 in words is "two billion, one hundred sixty-three million, three hundred forty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 61 68 80 85 89 122 136 170 178 244 272 293 305 340 356 445 488 586 610 680 712 890 976 1037 1172 1220 1360 1424 1465 1513 1780 2074 2344 2440 2930 3026 3560 4148 4688 4880 4981 5185 5429 5860 6052 7120 7565 8296 9962 10370 10858 11720 12104 15130 16592 17873 19924 20740 21716 23440 24208 24905 26077 27145 30260 35746 39848 41480 43432 49810 52154 54290 60520 71492 79696 82960 86864 89365 92293 99620 104308 108580 121040 130385 142984 178730 184586 199240 208616 217160 260770 285968 303841 357460 369172 398480 417232 434320 443309 461465 521540 607682 714920 738344 886618 922930 1043080 1215364 1429840 1476688 1519205 1590697 1773236 1845860 2086160 2216545 2430728 3038410 3181394 3546472 3691720 4433090 4861456 6076820 6362788 7092944 7383440 7953485 8866180 12153640 12725576 15906970 17732360 24307280 25451152 27041849 31813940 35464720 54083698 63627880 108167396 127255760 135209245 216334792 270418490 432669584 540836980 1081673960 2163347920